2021 Polynomial Operations

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3
• 4y² + 3y³ - y + 3
• -y⁴ + 2y³ -y - 4
• 4y³ + 3y² -3y + 1

Tags

CCSS.HSA.APR.A.1

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24
• 4x⁴ - 9x³ - 10x² - 2x - 24
• 4x⁴ - 9x³ - 10x² + 2x - 24
• -4x⁴ - 9x³ - 10x² - 24

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15
• 12x³ - 20x² - 5x + 15
• 12x³ - 20x² - 6x + 15
• 12x³ - 26x² + x + 15

Tags

CCSS.HSA.APR.A.1

Multiply.

( x - 4 ) ( x² + 9x - 7 )

• x³ + 13x² + 29x + 28

• x³ + 5x² - 43x + 28

• x³ - 4x² - 7x + 28

• x³ - 5x² + 43x + 28

Find the product:
(x - 2) (3x² + 2x - 4)

• 3x² -4x +8
• 3x³ +4x² -8x -8
• 3x³ -4x²-8x +8
• 3x³ -x² +8x +8

Find the product:
(5x + 2) (x² - 3x +6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

• -33b + 19
• -47b² +  21
• 33b - 19
• -47b +19

Simplify: (2x + y)(2x - y)

• 4x² - y²
• 4x - y
• 4x² + y²
• 2x² - y²